133388505 has 32 divisors (see below), whose sum is σ = 244792320. Its totient is φ = 68843520.

The previous prime is 133388501. The next prime is 133388513. The reversal of 133388505 is 505883331.

It is not a de Polignac number, because 133388505 - 2² = 133388501 is a prime.

It is a super-2 number, since 2×133388505² = 35584986532270050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133388505.

It is not an unprimeable number, because it can be changed into a prime (133388501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11752 + ... + 20121.

It is an arithmetic number, because the mean of its divisors is an integer number (7649760).

Almost surely, 2^133388505 is an apocalyptic number.

133388505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133388505 is a deficient number, since it is larger than the sum of its proper divisors (111403815).

133388505 is a wasteful number, since it uses less digits than its factorization.

133388505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31918 (or 31912 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 133388505 is about 11549.3941399538. The cubic root of 133388505 is about 510.9434094931.

The spelling of 133388505 in words is "one hundred thirty-three million, three hundred eighty-eight thousand, five hundred five".